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Finding the Fourth Proportional to 827.61, 1,141.81 and 513.13

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Solution

The fourth proportional to 827.61, 1,141.81 and 513.13 is: 707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.61 : 1,141.81 = 513.13 : x
  2. Step 2: Convert to fraction form
    827.61/1,141.81 = 513.13/x
  3. Step 3: Cross multiply
    827.61x = 1,141.81 × 513.13
  4. Step 4: Simplify right side
    827.61x = 585,896.97
  5. Step 5: Solve for x
    x = 585,896.97/827.61
  6. Step 6: Final answer
    x = 707.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.